Answer:
Option (a) 45.31
Step-by-step explanation:
Data provided in the question:
Standard deviation, σ = 0.08 mm
Sample size, n = 30
standard deviation of 30 samples, s = 0.10
Now,
σ² = (0.08)² = 0.0064
s² = (0.10)² = 0.01
Test Statistic = [ ( n - 1) × s²] ÷ σ²
or
Test Statistic = [ (30 - 1 ) × 0.01 ] ÷ 0.0064
= ( 29 × 0.01 ) ÷ 0.0064
= 45.31
Hence,
Option (a) 45.31
<span>You are given the theta function </span>θ=π/6, suppose that you have a radius of 4, then we have a polar coordinate of (4,π/6). To change into rectangular form, this is also equal to
x = 4cosπ/6 and y = 4sinπ/6
x = 2√3 and y = 2
(2√3, 2)
I believe you would have to divide 125 by 2 to get the miles per hour. I got 62.5mph I'm not sure if you need a proper rounded answer, but I think this is correct.
Given a polynomial 
and a point 
, we have that
We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of
Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be
To fix the correct value for a, we impose 
:
And so we must impose
So, the function we're looking for is
You should suck a long rod and the answer is around 50 minutes
